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HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES
Toplu, Tekin,Iscan, Imdat,Kadakal, Mahir The Honam Mathematical Society 2020 호남수학학술지 Vol.42 No.2
In this paper, we introduce and study the concept of hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for this class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is hyperbolic convexity. Moreover, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities.
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The Effect of Dexpanthenol on Ototoxicity Induced by Cisplatin
Yuksel Toplu,Emrah Sapmaz,Hakan Parlakpinar,Mehmet Kelles,M. Tayyar Kalcioglu,Kevser Tanbek,Ahmet Kizilay 대한이비인후과학회 2016 Clinical and Experimental Otorhinolaryngology Vol.9 No.1
Objectives. This study was aimed to investigate the protective effects of dexpanthenol (Dxp) on against cisplatin-induced ototoxicity. Methods. To examine this effect, distortion product otoacoustic emissions (DPOAEs) measurements and serum levels of oxidative and antioxidant status (including malondialdehyde, superoxide dismutase, catalase, glutathione, glutathione peroxidase, total oxidant status, total antioxidant status, and oxidative stress index) were evaluated. Thirty-two adult female Wistar albino rats were randomly divided into 4 equal groups; control (K), cisplatin (C), cisplatin plus Dxp (CD), and Dxp (D). In all groups DPOAEs measurements, between 996 and 10,078 Hz as DPOAEs and input/output functions, were performed on days 0, 1th, 5th, and 12th. Prior to death, the last DPOAEs measurements and blood samples were taken. Results. In the C group, statistically significant differences were detected at all frequencies between 0 and 5 days and 0 and 12 days measurements (P<0.05). Serum level of oxidant and antioxidant status were detected statistically significantly changed in this group versus K group (P<0.05). Contrary to the C group, in the CD group hearing ability was seen largely preserved at many frequencies and serum levels of all biochemical parameters were shifted toward normal values, similar to the K group. No significant differences were detected in the either D or K group’s measurements. Conclusion. According to these results, Dxp may prevent cisplatin-induced ototoxicity.
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Murat Şeker,Celil Toplu 한국식품영양과학회 2010 Journal of medicinal food Vol.13 No.4
The fruits and leaves of Arbutus species are well known in folk medicine as antiseptics, diuretics, and laxatives in many parts of Turkey. Some chemical properties including pH, soluble solid content, titratable acidity, protein, moisture, ash, ascorbic acid, fructose, glucose, sucrose, total phenols, total antioxidant activity, and minerals were determined in fully matured Arbutus unedo L. and Arbutus andrachnae L. fruits collected from different sites of Çanakkale, Turkey in 2006 and 2007. Total soluble solids, titratable acidity, protein, moisture, and ash content of A. unedo and A. andrachnae berries were on average 16.0% and 14.0%, 0.4% and 0.6%, 2.38% and 3.77%, 47.21% and 38.21%, and 2.82% and 4.35%, respectively. The mean values of ascorbic acid were 270.50mg/100g for A. unedo and 140.30mg/100g for A. andrachnae, which suggested that Arbutus berries contain high amounts of vitamin C. In the strawberry tree fruits, fructose and glucose were determined to be the major sugars. The analysis showed that fructose and glucose occurred in concentrations of 24.09% and 19.09%, respectively. However, ripe A. andrachnae fruits contained small amounts of fructose (4.12%), glucose (2.73%), and sucrose (0.16%) detectable by high-performance liquid chromatography analysis. The general order of abundance of the minerals was K>Ca>P>Mg>Na in whole fruit of the strawberry tree. The chemical composition of Arbutus fruits indicates that the fruits are good sources of minerals and ascorbic acid and that they are high in phenolics and antioxidant capacity and low in soluble sugars, especially A. andrachnae. The data should be useful for research purposes and for compiling local food composition tables. In view of its chemical composition, the use of Arbutus fruits in some food products may be suggested.
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LAZHAR TYPE INEQUALITIES FOR p-CONVEX FUNCTIONS
Imdat Iscan,Tekin Toplu,Selahattin Maden 호남수학회 2022 호남수학학술지 Vol.44 No.3
The aim of this study is to establish some new Jensen and Lazhar type inequalities for p-convex function that is a generalization of convex and harmonic convex functions. The results obtained here are reduced to the results obtained earlier in the literature for convex andharmonic convex functions in special cases.
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